Product Description

by Amit Bhaya and Eugenius Kaszkurewicz

Control Perspectives on Numerical Algorithms and Matrix Problems organizes the analysis and design of iterative numerical methods from a control perspective. The authors discuss a variety of applications, including iterative methods for linear and nonlinear systems of equations, neural networks for linear and quadratic programming problems, support vector machines, integration and shooting methods for ordinary differential equations, matrix preconditioning, matrix stability, and polynomial zero finding.

This book opens up a new field of interdisciplinary research that should lead to insights in the areas of both control and numerical analysis and shows that a wide range of applications can be approached fromÑand benefit fromÑa control perspective.

AudienceControl Perspectives on Numerical Algorithms and Matrix Problems is intended for researchers in applied mathematics and control as well as senior undergraduate and graduate students in both of these fields. Engineers and scientists who design algorithms on a heuristic basis and are looking for a framework may also be interested in the book.

About the AuthorsAmit Bhaya is Professor of Electrical Engineering at the Graduate School of Engineering, Federal University of Rio de Janeiro (COPPE/UFRJ). He is coauthor of Matrix Diagonal Stability in Systems and Computation (Birkhser, 2000) and works in the areas of systems and control theory, parallel computation, neural networks, matrix stability theory, and mathematical ecology.

Eugenius Kaszkurewicz is Professor of Electrical Engineering at the Graduate School of Engineering, Federal University of Rio de Janeiro (COPPE/UFRJ). He is coauthor of Matrix Diagonal Stability in Systems and Computation (Birkhser, 2000) and works in the areas of stability theory, large-scale systems stability and control, parallel computation, neural networks, and matrix stability theory. He is an elected member of the Brazilian Academy of Sciences and served for several years as Associate Editor of Automatica, the journal of the International Federation of Automatic Control.

ContentsList of FiguresList of TablesPrefaceChapter 1: Brief Review of Control and Stability TheoryChapter 2: Algorithms as Dynamical Systems with FeedbackChapter 3: Optimal Control and Variable Structure Design of Iterative MethodsChapter 4: Neural-Gradient Dynamical Systems for Linear and Quadratic Programming ProblemsChapter 5: Control Tools in the Numerical Solution of Ordinary Differential Equations and in Matrix ProblemsChapter 6: EpilogueBibliographyIndex